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Finding the Fourth Proportional to 42,006.34, 63,022.88 and 12,424.34

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Solution

The fourth proportional to 42,006.34, 63,022.88 and 12,424.34 is: 18,640.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,006.34 : 63,022.88 = 12,424.34 : x
  2. Step 2: Convert to fraction form
    42,006.34/63,022.88 = 12,424.34/x
  3. Step 3: Cross multiply
    42,006.34x = 63,022.88 × 12,424.34
  4. Step 4: Simplify right side
    42,006.34x = 783,017,688.90
  5. Step 5: Solve for x
    x = 783,017,688.90/42,006.34
  6. Step 6: Final answer
    x = 18,640.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.